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Finding the Third Proportional to 395,938 and 863,342

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Solution

The third proportional to 395,938 and 863,342 is: 1,882,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,938 : 863,342 = 863,342 : x
  2. Step 2: Convert to fraction form
    395,938/863,342 = 863,342/x
  3. Step 3: Cross multiply
    395,938x = 863,342 × 863,342
  4. Step 4: Simplify right side
    395,938x = 745,359,408,964
  5. Step 5: Solve for x
    x = 745,359,408,964/395,938
  6. Step 6: Final answer
    x = 1,882,515.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.